Respuesta :

Matheng


In ΔLMN ⇒ LM = 14 ,  MN= 10  and   LN = 12

In ΔPRQ ⇒ PR =28  ,  QP = 20  and QR = 24

∴ PR/LM = 28/14 = 2

And QP/MN = 20/10 = 2

And QR/LN = 24/12 = 2

∴ ΔPRQ is similar  to Δ LMN by PPP

∴QR is corresponds to side LN in triangle MNL

So, the correct answer is the first option


artsypurplepand

I would say RQ (The first choice).



Since the ratios need to be the equivalent for each pair of corresponding sides, you can see that:


[tex] \frac{10}{20}=\frac{14}{28}=\frac{12}{24} [/tex].


In which all the ratios are equivalent to [tex] \frac{1}{2} [/tex].



Therefore, NM corresponds to QP, ML corresponds to PR, and LN corresponds to RQ. So, RQ corresponds to LN.



Have a great day!

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